106403328000
106,403,328,000 is an even composite number composed of five prime numbers multiplied together.
106403328000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 106403328000:
212 × 33 × 53 × 43 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 43 × 179)See below for interesting mathematical facts about the number 106403328000 from the Numbermatics database.
Names of 106403328000
- Cardinal: 106403328000 can be written as One hundred six billion, four hundred three million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.06403328 × 1011
Factors of 106403328000
Divisors of 106403328000
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 43 45 48 50 54 60 64 72 75 80 86 90 96 100 108 120 125 128 129 135 144 150 160 172 179 180 192 200 215 216 225 240 250 256 258 270 288 300 320 344 358 360 375 384 387 400 430 432 450 480 500 512 516 537 540 576 600 640 645 675 688 716 720 750 768 774 800 860 864 895 900 960 1000 1024 1032 1074 1075 1080 1125 1152 1161 1200 1280 1290 1350 1376 1432 1440 1500 1536 1548 1600 1611 1720 1728 1790 1800 1920 1935 2000 2048 2064 2148 2150 2160 2250 2304 2322 2400 2560 2580 2685 2700 2752 2864 2880 3000 3072 3096 3200 3222 3225 3375 3440 3456 3580 3600 3840 3870 4000 4096 4128 4296 4300 4320 4475 4500 4608 4644 4800 4833 5120 5160 5370 5375 5400 5504 5728 5760 5805 6000 6144 6192 6400 6444 6450 6750 6880 6912 7160 7200 7680 7697 7740 8000 8055 8256 8592 8600 8640 8950 9000 9216 9288 9600 9666 9675 10240 10320 10740 10750 10800 11008 11456 11520 11610 12000 12288 12384 12800 12888 12900 13425 13500 13760 13824 14320 14400 15360 15394 15480 16000 16110 16125 16512 17184 17200 17280 17900 18000 18432 18576 19200 19332 19350 20480 20640 21480 21500 21600 22016 22375 22912 23040 23091 23220 24000 24165 24768 25600 25776 25800 26850 27000 27520 27648 28640 28800 29025 30720 30788 30960 32000 32220 32250 33024 34368 34400 34560 35800 36000 36864 37152 38400 38485 38664 38700 40275 41280 42960 43000 43200 44032 44750 45824 46080 46182 46440 48000 48330 48375 49536 51200 51552 51600 53700 54000 55040 55296 57280 57600 58050 61440 61576 61920 64000 64440 64500 66048 67125 68736 68800 69120 69273 71600 72000 74304 76800 76970 77328 77400 80550 82560 85920 86000 86400 88064 89500 91648 92160 92364 92880 96000 96660 96750 99072 102400 103104 103200 107400 108000 110080 110592 114560 115200 115455 116100 120825 123152 123840 128000 128880 129000 132096 134250 137472 137600 138240 138546 143200 144000 145125 148608 153600 153940 154656 154800 161100 165120 171840 172000 172800 176128 179000 183296 184320 184728 185760 192000 192425 193320 193500 198144 201375 206208 206400 207819 214800 216000 220160 229120 230400 230910 232200 241650 246304 247680 256000 257760 258000 264192 268500 274944 275200 276480 277092 286400 288000 290250 297216 307200 307880 309312 309600 322200 330240 343680 344000 345600 346365 358000 366592 369456 371520 384000 384850 386640 387000 396288 402750 412416 412800 415638 429600 432000 440320 458240 460800 461820 464400 483300 492608 495360 512000 515520 516000 528384 537000 549888 550400 552960 554184 572800 576000 577275 580500 594432 604125 615760 618624 619200 644400 660480 687360 688000 691200 692730 716000 733184 738912 743040 768000 769700 773280 774000 792576 805500 824832 825600 831276 859200 864000 880640 916480 921600 923640 928800 962125 966600 985216 990720 1031040 1032000 1039095 1074000 1099776 1100800 1108368 1145600 1152000 1154550 1161000 1188864 1208250 1231520 1237248 1238400 1288800 1320960 1374720 1376000 1382400 1385460 1432000 1477824 1486080 1536000 1539400 1546560 1548000 1585152 1611000 1649664 1651200 1662552 1718400 1728000 1731825 1832960 1847280 1857600 1924250 1933200 1970432 1981440 2062080 2064000 2078190 2148000 2199552 2201600 2216736 2291200 2304000 2309100 2322000 2377728 2416500 2463040 2474496 2476800 2577600 2641920 2749440 2752000 2764800 2770920 2864000 2886375 2955648 2972160 3078800 3093120 3096000 3222000 3299328 3302400 3325104 3436800 3456000 3463650 3665920 3694560 3715200 3848500 3866400 3940864 3962880 4124160 4128000 4156380 4296000 4403200 4433472 4582400 4608000 4618200 4644000 4755456 4833000 4926080 4948992 4953600 5155200 5195475 5498880 5504000 5541840 5728000 5772750 5911296 5944320 6157600 6186240 6192000 6444000 6598656 6604800 6650208 6873600 6912000 6927300 7389120 7430400 7697000 7732800 7881728 7925760 8248320 8256000 8312760 8592000 8659125 8866944 9164800 9236400 9288000 9666000 9852160 9897984 9907200 10310400 10390950 10997760 11008000 11083680 11456000 11545500 11822592 11888640 12315200 12372480 12384000 12888000 13209600 13300416 13747200 13824000 13854600 14778240 14860800 15394000 15465600 15763456 16496640 16512000 16625520 17184000 17318250 17733888 18329600 18472800 18576000 19332000 19704320 19795968 19814400 20620800 20781900 22016000 22167360 22912000 23091000 23645184 23777280 24630400 24744960 24768000 25776000 25977375 26600832 27494400 27709200 29556480 29721600 30788000 30931200 31526912 32993280 33024000 33251040 34368000 34636500 35467776 36945600 37152000 38664000 39408640 39628800 41241600 41563800 44334720 45824000 46182000 47290368 49260800 49489920 49536000 51552000 51954750 53201664 54988800 55418400 59112960 59443200 61576000 61862400 66048000 66502080 68736000 69273000 70935552 73891200 74304000 77328000 78817280 82483200 83127600 88669440 91648000 92364000 94580736 98521600 98979840 99072000 103104000 103909500 106403328 110836800 118225920 118886400 123152000 123724800 133004160 137472000 138546000 141871104 147782400 148608000 154656000 157634560 164966400 166255200 177338880 184728000 197043200 198144000 206208000 207819000 212806656 221673600 236451840 246304000 247449600 266008320 274944000 277092000 283742208 295564800 297216000 309312000 332510400 354677760 369456000 394086400 412416000 415638000 425613312 443347200 472903680 492608000 494899200 532016640 554184000 591129600 594432000 618624000 665020800 709355520 738912000 788172800 824832000 831276000 851226624 886694400 985216000 1064033280 1108368000 1182259200 1237248000 1330041600 1418711040 1477824000 1662552000 1773388800 1970432000 2128066560 2216736000 2364518400 2474496000 2660083200 2955648000 3325104000 3546777600 3940864000 4256133120 4433472000 5320166400 5911296000 6650208000 7093555200 8866944000 10640332800 11822592000 13300416000 17733888000 21280665600 26600832000 35467776000 53201664000 106403328000
- Sum of all divisors σ(n): 404805772800
- Sum of proper divisors (its aliquot sum) s(n): 298402444800
- 106403328000 is an abundant number, because the sum of its proper divisors (298402444800) is greater than itself. Its abundance is 191999116800
Bases of 106403328000
- Binary: 11000110001100010000111110000000000002
- Hexadecimal: 0x18C621F000
- Base-36: 1CVPSLC0
Squares and roots of 106403328000
- 106403328000 squared (1064033280002) is 11321668209475584000000
- 106403328000 cubed (1064033280003) is 1204663176000003272343552000000000
-
The
square root of 106403328000 is 326195.2298854169 -
The
cube root of 106403328000 is 4738.6184084277
Scales and comparisons
How big is 106403328000?- 106,403,328,000 seconds is equal to 3,383 years, 15 weeks, 3 days.
-
To count from 1 to 106,403,328,000 would take you about six thousand, seven hundred sixty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 106403328000 cubic inches would be around 394.9 feet tall.
Recreational maths with 106403328000
- 106403328000 backwards is 000823304601
- 106403328000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106403328000's digits is 27
- More coming soon!
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